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mathstudent55

5 years ago

All you need to do is show two things.
In a regular polygon, all angles are congruent. That means all their measures are the same.
Also, in any polygon, the sum of the measures of the interior angles of a polygon is
(n - 2)180, where n = number of sides.
Since a pentagon has 5 sides, the sum of measures of the interior angles is
(5 - 2)180 = 3(180) = 540
Since all angles are congruent, each angle is 540/5